Combined HERA data on charm production in deep-inelastic scattering have previously been used to determine the charm-quark running mass $m_{c}(m_{c})$ in the $\overline{MS}$renormalisation scheme. Here, the same data are used as a function of the photon virtuality $Q^2$ to evaluate the charm-quark running mass at different scales to one-loop order, in the context of a next-to-leading order QCD analysis. [...]

We present the first threshold and jet radius jointly resummed cross section for single-inclusive hadronic jet production. We work at next-to-leading logarithmic accuracy and our framework allows for a systematic extension beyond the currently achieved precision. [...]